15 October 2012 On the calculation of energy eigenstates of electrons in a spherical quantum dot
Author Affiliations +
Proceedings Volume 8549, 16th International Workshop on Physics of Semiconductor Devices; 85491J (2012); doi: 10.1117/12.923801
Event: 16th International Workshop on Physics of Semiconductor Devices, 2011, Kanpur, India
Abstract
The fundamental problem in the investigation of the properties of a quantum dot is the calculation of the energy eigen values of its confined charge carriers and evaluation of their corresponding wave functions. The quantum dots may be approximated as spheres whose surfaces constitute infinite potential barriers for carriers. Consequently, the motion of electrons and holes (which are confined inside the dot) can be analyzed by effective mass approximation applied to noninteracting particles. An attempt has been made here to solve the Schrödinger’s equation for particles inside the infinite spherical potential well to determine their allowed energy eigen values and eigen functions.
© (2012) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Pranati Purohit, Dilip Kumar Roy, Shankar Prasad Pati, "On the calculation of energy eigenstates of electrons in a spherical quantum dot", Proc. SPIE 8549, 16th International Workshop on Physics of Semiconductor Devices, 85491J (15 October 2012); doi: 10.1117/12.923801; http://dx.doi.org/10.1117/12.923801
PROCEEDINGS
6 PAGES


SHARE
KEYWORDS
Electrons

Quantum dots

Spherical lenses

Particles

Bessel functions

Optical spheres

Semiconductors

Back to Top